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Finding the Fourth Proportional to 221,040.78, 305,036.22 and 120,438.78

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Solution

The fourth proportional to 221,040.78, 305,036.22 and 120,438.78 is: 166,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,040.78 : 305,036.22 = 120,438.78 : x
  2. Step 2: Convert to fraction form
    221,040.78/305,036.22 = 120,438.78/x
  3. Step 3: Cross multiply
    221,040.78x = 305,036.22 × 120,438.78
  4. Step 4: Simplify right side
    221,040.78x = 36,738,190,192.61
  5. Step 5: Solve for x
    x = 36,738,190,192.61/221,040.78
  6. Step 6: Final answer
    x = 166,205.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.